6-3(4k+1)=5+3(10-8k)

Solution for 6-3(4k+1)=5+3(10-8k) equation:

Simplifying
6 + -3(4k + 1) = 5 + 3(10 + -8k)

Reorder the terms:
6 + -3(1 + 4k) = 5 + 3(10 + -8k)
6 + (1 * -3 + 4k * -3) = 5 + 3(10 + -8k)
6 + (-3 + -12k) = 5 + 3(10 + -8k)

Combine like terms: 6 + -3 = 3
3 + -12k = 5 + 3(10 + -8k)
3 + -12k = 5 + (10 * 3 + -8k * 3)
3 + -12k = 5 + (30 + -24k)

Combine like terms: 5 + 30 = 35
3 + -12k = 35 + -24k

Solving
3 + -12k = 35 + -24k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '24k' to each side of the equation.
3 + -12k + 24k = 35 + -24k + 24k

Combine like terms: -12k + 24k = 12k
3 + 12k = 35 + -24k + 24k

Combine like terms: -24k + 24k = 0
3 + 12k = 35 + 0
3 + 12k = 35

Add '-3' to each side of the equation.
3 + -3 + 12k = 35 + -3

Combine like terms: 3 + -3 = 0
0 + 12k = 35 + -3
12k = 35 + -3

Combine like terms: 35 + -3 = 32
12k = 32

Divide each side by '12'.
k = 2.666666667

Simplifying
k = 2.666666667